Prove that n⁷ +7 is never a perfect square.
This proof used parity, binomial expansion, quadratic residues and the fact of the sum of squares. The main( last) fact was that if the product of two coprime odd numbers is equal to the sum of two squares, then the non square parts of the integers are congruent to 1mod4.

▶︎
Find all natural numbers for which n^10 + n^5 +1 is prime

▶︎
Prove that (n/2)^n is greater than n!

▶︎
a * b = ab + a + b

▶︎
p² - p +1 = n³

▶︎
The Shape that Broke Math

▶︎
Spanien – Argentinien Highlights | Finale, FIFA WM 2026 | sportstudio

▶︎
Find all n greater than 1 such that (2^n + 1)/n^2 is an integer.

▶︎
Prove that this difference of squares is a multiple of 48

▶︎
98% Failed To Solve This Math

▶︎
Romanian Mathematics Olympiad

▶︎
Find all integers x such that 2x^2+x-6 is the positive power of a prime

▶︎
A system of equations from Germany

▶︎
Why you can't solve quintic equations (Galois theory approach) #SoME2

▶︎
CHOSEN ONES‼️ THEY FINALLY REALIZED YOU'VE KNOWN THIS THE ENTIRE TIME😎🤯 NOW THEY FEELING FOOL

▶︎
Truly Understand Probability

▶︎
x^4 - 3x +1 is never a perfect square for positive integer x.

▶︎
Sunday July 19 | Invite the Holy Spirit Into Your Day | Powerful Morning Prayer for Strength & Peace

▶︎
When the derivative of a number is not zero -- The arithmetic derivative.

▶︎
Find all natural numbers such that 2^n + n divides 8^n + n

▶︎
